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3 years ago

What is the measure of angle x?

Mathematics

2 answers:

tekilochka [14]3 years ago

4 0

I think the answer is 83

nexus9112 [7]3 years ago

4 0

Answer: 83 is answer

Step-by-step explanation:

You might be interested in

When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find m abc

DedPeter [7]

Supplementary angles are angles that add up to 180 degrees.

180 = 3x + 4 + 8x + 11

Combine like terms.

180 = 11x + 15

Subtract 15 from both sides.

165 = 11x

Divide both sides by 11

15 = x

m<ABC = 3x + 4 = 3(15) + 4 = 45 + 4 = 49 degrees.

8 0

3 years ago

Absolute value |-46|

Ivahew [28]

Answer: the absolut value is 46

Step-by-step explanation:

8 0

3 years ago

3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3

ankoles [38]

Given:

The equation is:

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

To find:

The value of a.

Solution:

We have,

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

On simplification, we get

$(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}$

$(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}$

On comparing both sides, we get

$6-12a=-18$

$-12a=-18-6$

$a=\dfrac{-24}{-12}$

$a=2$

And,

$8-3a=2$

$-3a=2-8$

$a=\dfrac{-6}{-3}$

$a=2$

Therefore, the value of a is 2.

3 0

2 years ago

Select all possible values for x in the equation x^3=375?

Helga [31]

<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

To solve the problem, we need to remember the following properties of the exponents and roots:

$a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}$

Then, we are given the expression:

$x^{3}=375$

So, finding "x", we have:

$x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}$

Hence, the possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

Have a nice day!

7 0

3 years ago

Let f(x)=3x^2-8 and let g(x)=4x+1. Find the given value f[g(-1)]

lana [24]

Answer:

Step-by-step explanation:

given:

f(x)=3x²-8

g(x)=4x+1

g(-1) = 4(-1)+1

g(-1) = -4 + 1

g(-1) = -3

hence

f[g(-1)]

= f(-3)

= 3(-3)²-8

= 3(9) - 8

= 19

7 0

2 years ago